...We are taught not to use the slide stop because over time the corners round on our range guns and they won't stay open.
I've heard of THIS particular issue, but have only seen it once, with a less-expensive gun that was many years old.
If it happens, I suspect that the notch on the slide can be touched up so that the slide will still locks open, as doing so won't greatly affect the slide position when it's locked open after the adjustment. I don't remember hearing of anyone doing that sort of adjustment (probably with a fine file) but if wear does affect the shape of the notch, I also suspect it will work.
As I've noted before, the U.S. Department of Defense now teaches those going through handgun training to use the stop/release lever. This change in training was introduced because of issues encountered in Iraq and Afghanistan, where slides weren't going fully into battery under combat conditions, which meant the shooter had to diagnose and either slam the slide closed or rack the slide and lose a round - which runs the risk of having to do it again.
The hand-over method will work with most guns, but when used with the Beretta 92/M9 (or a similar Taurus), the hand-over technique can decock the weapon. That doesn't disable the weapon, but it can slow things down a bit and give the shooter a heavier (i.e. full DA) trigger pull than expected.
The problem with using the stop/release lever is that it can require, depending on the shooter, the use of the off-hand, but there are very effective and very easily-learned -- and suprisingly rapid -- ways to do that.